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2019•Earthline Journal of Mathematical SciencesOpen access

The Number of Conjugacy Classes and Irreducible Characters in a Finite Group

Remigius Okeke Aja, Uchenna Emmanuel Obasi, Everestus Obinwanne Eze

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Abstract

In this paper, number of conjugacy classes and irreducible characters in a non-abelian group of order $2^6$ are investigated using cycle pattern of elements. Through the exploits of commutator and representation of elements as a product of disjoint cycles, the number of conjugacy classes is obtained which extends some results in literature.

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In this paper, number of conjugacy classes and irreducible characters in a non-abelian group of order $2^6$ are investigated using cycle pattern of elements. Through the exploits of commutator and representation of elements as a product of disjoint cycles, the number of conjugacy classes is obtained which extends some results in literature.

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Available abstract

In this paper, number of conjugacy classes and irreducible characters in a non-abelian group of order $2^6$ are investigated using cycle pattern of elements. Through the exploits of commutator and representation of elements as a product of disjoint cycles, the number of conjugacy classes is obtained which extends some results in literature.

Key concepts: Conjugacy class, Mathematics, Character table, Disjoint sets, Group (periodic table), Order (exchange), Commutator, Commutator subgroup

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